04. a. A control volume is an arbitrary volume of space through which fluid can flow. Let the control volume of a spherical shaped blob in a flowing fluid is V. Suppose the fluid has density p(r, t) and velocity field u. Then applying mass conservation to the blob, Rate of change of mass in-Mass out flow. The total mass of fluid entering to the blob in a control volume V is m= --fff₂ The mass out flow is given by. p dv. (pu) ds where, S is the surface bounded by the control volume V. Apply the Gauss Divergence Theorem to show that, ap +V.(pu) = 0.

04. a. A control volume is an arbitrary volume of space through which fluid can flow. Let the control volume of a spherical shaped blob in a flowing fluid is V. Suppose the fluid has density p(r, t) and velocity field u. Then applying mass conservation to the blob, Rate of change of mass in-Mass out flow. The total mass of fluid entering to the blob in a control volume V is m= --fff₂ The mass out flow is given by. p dv. (pu) ds where, S is the surface bounded by the control volume V. Apply the Gauss Divergence Theorem to show that, ap +V.(pu) = 0.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 88P: (a) Using Bernoulli's equation, show that be measured fluid speed v for a pitot tube, like the one...

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